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Stability of Heavy Tetraquarks

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Abstract

We discuss the stability of tetraquark systems with two different masses. After some reminders about the stability of very asymmetric \(QQ{\bar{q}} {\bar{q}}\) tetraquarks, we demonstrate that in the all-heavy limit \(q \rightarrow Q\), the system becomes unstable for standard color-additive models. We also analyze the consequences of symmetry breaking for \(Qq{\bar{Q}}{\bar{q}}\) configurations: we find a kind of metastability between the lowest threshold \(Q{\bar{Q}} + q{\bar{q}}\) and the highest one, \(Q{\bar{q}}+{\bar{Q}} q\), and we calculate the width of the resonance. Our results are consistent with the experimental observation of narrow hadrons lying well above their lowest decay threshold.

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Acknowledgements

A correspondence with A. Czarnecki and M. B. Voloshin is gratefully acknowledged, as well as discussions with E. Eichten and M. Karliner during the meeting of the Quarkonium Working Group. This work has been partially funded by Ministerio de Economía, Industria y Competitividad and EU FEDER under Contracts Nos. FPA2016-77177 and FPA2015-69714-REDT, by Junta de Castilla y León under Contract No. SA041U16, and by Generalitat Valenciana PrometeoII/2014/066.

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Authors and Affiliations

  1. Departamento de Física Fundamental and IUFFyM, Universidad de Salamanca, 37008, Salamanca, Spain

    A. Valcarce

  2. Institut de Physique Nucléaire de Lyon, IN2P3-CNRS–UCBL, Université de Lyon, 4 rue Enrico Fermi, 69622, Villeurbanne, France

    J.-M. Richard

  3. Unidad Mixta de Investigacin en Radiofsica e Instrumentacin Nuclear en Medicina (IRIMED), Instituto de Investigacin Sanitaria La Fe (IIS-La Fe), Universitat de Valencia (UV) and IFIC (UV-CSIC), Valencia, Spain

    J. Vijande

  4. Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, Edificio 9, 07738, Mexico, D.F., Mexico

    H. Garcilazo

Authors
  1. A. Valcarce
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  2. J. Vijande
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  3. J.-M. Richard
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  4. H. Garcilazo
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Corresponding author

Correspondence to A. Valcarce.

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This article belongs to the Topical Collection “Critical Stability of Quantum Few-Body Systems”.

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Valcarce, A., Vijande, J., Richard, JM. et al. Stability of Heavy Tetraquarks. Few-Body Syst 59, 9 (2018). https://doi.org/10.1007/s00601-018-1331-9

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